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331130313108 = 2232724318892311
BaseRepresentation
bin1001101000110001110…
…01111001100110010100
31011122201001002210012200
410310120321321212110
520411123330004413
6412041423444500
732631501135600
oct4643071714624
91148631083180
10331130313108
1111848247a2a1
1254212a56730
13252c142901a
141205373a500
15893065a573
hex4d18e79994

331130313108 has 216 divisors, whose sum is σ = 997283327040. Its totient is φ = 92319575040.

The previous prime is 331130313049. The next prime is 331130313133. The reversal of 331130313108 is 801313031133.

331130313108 is a `hidden beast` number, since 3 + 311 + 3 + 0 + 31 + 310 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 143283273 + ... + 143285583.

It is an arithmetic number, because the mean of its divisors is an integer number (4617052440).

Almost surely, 2331130313108 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331130313108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498641663520).

331130313108 is an abundant number, since it is smaller than the sum of its proper divisors (666153013932).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

331130313108 is a wasteful number, since it uses less digits than its factorization.

331130313108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4267 (or 4255 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 331130313108 in words is "three hundred thirty-one billion, one hundred thirty million, three hundred thirteen thousand, one hundred eight".